Darcy harvests 8(3)/(4) acres of corn every (5)/(6) of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour? ◻ acres per hour

Prompt: question_prompt: How many acres does Darcy harvest per hour? Calculate Acres Harvested: Darcy harvests 8(3)/(4) acres in (5)/(6) of an hour. To find the rate per hour, divide the acres harvested by the fraction of the hour. Convert to Improper Fraction: Convert 8(3)/(4) to an improper fraction: 8 * 4 + 3 = 35, so 8(3)/(4) = 35/4 acres. Divide Acres by Time Fraction: Now divide 35/4 acres by (5)/(6) hours to find the rate per hour. Set up the division as a multiplication by the reciprocal: (35/4) ÷ (5/6) = (35/4) * (6/5). Multiply Numerators and Denominators: Multiply the numerators and denominators: 35 * 6 = 210 and 4 * 5 = 20. So, (35/4) * (6/5) = 210/20. Simplify Final Answer: Simplify 210/20 to get the final answer: 210 ÷ 20 = 10.5. So, Darcy harvests 10.5 acres per hour.

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Darcy harvests
8(3)/(4) acres of corn every
(5)/(6) of an hour. Darcy harvests corn at a constant rate.
How many acres does she harvest per hour?

◻ acres per hour

Darcy harvests 8 $\frac{3}{4}$ acres of corn every $\frac{5}{6}$ of an hour. Darcy harvests corn at a constant rate. $\newline$ How many acres does she harvest per hour? $\newline$ $\square$ acres per hour

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Q. Darcy harvests 8

\frac{3}{4}

acres of corn every

\frac{5}{6}

of an hour. Darcy harvests corn at a constant rate.

\newline

How many acres does she harvest per hour?

\newline

\square

acres per hour

Prompt: question_prompt: How many acres does Darcy harvest per hour?
Calculate Acres Harvested: Darcy harvests $8\left(\frac{3}{4}\right)$ acres in $\left(\frac{5}{6}\right)$ of an hour. To find the rate per hour, divide the acres harvested by the fraction of the hour.
Convert to Improper Fraction: Convert $8\left(\frac{3}{4}\right)$ to an improper fraction: $8 \times 4 + 3 = 35$ , so $8\left(\frac{3}{4}\right) = \frac{35}{4}$ acres.
Divide Acres by Time Fraction: Now divide $\frac{35}{4}$ acres by $\frac{5}{6}$ hours to find the rate per hour. Set up the division as a multiplication by the reciprocal: $\left(\frac{35}{4}\right) \div \left(\frac{5}{6}\right) = \left(\frac{35}{4}\right) \times \left(\frac{6}{5}\right)$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators: $35 \times 6 = 210$ and $4 \times 5 = 20$ . So, $(\frac{35}{4}) \times (\frac{6}{5}) = \frac{210}{20}$ .
Simplify Final Answer: Simplify $\frac{210}{20}$ to get the final answer: $210 \div 20 = 10.5$ . So, Darcy harvests $10.5$ acres per hour.